Suppose a rectangular garden plot has a length that can be expressed as x+2 feet and a width expressed as x+7 feet. Write a poly
1 answer:
Answer:
Step-by-step explanation:
Given:
Length of rectangular garden = (x + 2) ft
Width = (x + 7) ft
Required:
a. Polynomial expression of the area of the garden
b. Polynomial expression of the perimeter of the garden
SOLUTION:
Area of the rectangular garden = length × width
Expand using the distributive property of multiplication
Perimeter = 2(length) + 2(width)
Collect like terms
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Answer:
x ∈ {-5, -1}
Step-by-step explanation:
Here's the solution using the quadratic formula:
The real zeros are -5 and -1.
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There are many ways to check your answer. One of them is to look at the given quadratic, which has no changes of sign in its coefficients. (They are all positive.) That means there can be no positive real roots, so already you know that x=0.5 won't work.
Also, the constant in the quadratic is the product of the roots, For your roots, their product is -7/4, so even multiplying by 4 (the leading coefficient in the given quadratic), you don't get anything like 20.
